Search a number
-
+
20893149 = 324121381
BaseRepresentation
bin100111110110…
…0110111011101
31110022111000100
41033230313131
520322040044
62023451313
7342405654
oct117546735
943274010
1020893149
1110880372
126bb6b39
134436b14
142abc19b
151c7a869
hex13ecddd

20893149 has 18 divisors (see below), whose sum is σ = 30955418. Its totient is φ = 13579200.

The previous prime is 20893129. The next prime is 20893157. The reversal of 20893149 is 94139802.

It can be written as a sum of positive squares in 3 ways, for example, as 777924 + 20115225 = 882^2 + 4485^2 .

It is not a de Polignac number, because 20893149 - 216 = 20827613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20893109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14439 + ... + 15819.

Almost surely, 220893149 is an apocalyptic number.

It is an amenable number.

20893149 is a deficient number, since it is larger than the sum of its proper divisors (10062269).

20893149 is a wasteful number, since it uses less digits than its factorization.

20893149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 20893149 is about 4570.9024273113. The cubic root of 20893149 is about 275.4236950831.

The spelling of 20893149 in words is "twenty million, eight hundred ninety-three thousand, one hundred forty-nine".

Divisors: 1 3 9 41 123 369 1381 1681 4143 5043 12429 15129 56621 169863 509589 2321461 6964383 20893149